Adam is climbing up the stairs in a building. At a certain point, Adam starts counting the steps and when he reaches the last step, he has counted 56 steps. If he knows that there are a total of 100 steps in the building, how many steps did he climb before he started counting the steps?

Answer:

B

Step-by-step explanation:

The absolute value of a number means its distance from zero.

Therefore:

I-6I=6

Answer B shows that -6 is 6 units on the number line from zero, so that is the correct answer.

Answer:Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. Created by Sal Khan and CK-12 Foundation

Step-by-step explanation:

Correct is;

A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards of this fabric is C = f(x) dollars.

(a) What is the meaning of the derivative f '(x)?

What are its units?

(b) In practical terms, what does it mean to say that f '(2000) = 10?

(c) Which do you think is greater,

f '(200) or f '(600)? What about f '(4000)?

Answer:

A) f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.

It's unit is $/yard

B) f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.

C) f' (200) > f'(600)

f'(4000) > f'(600)

Step-by-step explanation:

A) Since the cost of producing x yards of this fabric is C = f(x) dollars. f'(x) simply means the rate of change of C with respect to x.

In clearer terms, the derivative f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.

It's unit is $/yard

B) To say f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.

C) f '(200) is greater than f'(600) because the cost of making the 600th yard will be less than the cost of the 200th yard. Reason for this is due to economics of scale as the manufacturer will certainly make more efficient use of fixed costs of production.

As more units are produced, there may likely be more overtime costs and thus the rate of increase cost of production will likely increase faster.

Thus;

f'(4000) > f'(600)

This question is incomplete, the complete question is;

In a country, 31 % of the people that voted for candidate AA are women. Moreover, 10% of the population are women and voted for AA. What is the percentage of people that voted for candidate AA?

Answer:

the percentage of people that voted for candidate AA is 32.3%

Step-by-step explanation:

Given that;

31 % of the people that voted for candidate A are women

P( women/Candidate AA) = 0.31

Moreover, 10% of the population are women and voted for AA

P( women & candidate AA) = 0.10

so

p( Candidate AA) =  P( women & candidate AA) / P( women/Candidate AA)

p( Candidate AA)  = 0.10 / 0.31

p( Candidate AA)  = 0.323

p( Candidate AA)  = 32.3%

Therefore the percentage of people that voted for candidate AA is 32.3%

Answer:

[tex]tan\ X= \frac{4}{3}[/tex]

Step-by-step explanation:

Given

[tex]Z=90\°[/tex]

[tex]ZY = 4[/tex]

[tex]XZ = 3[/tex]

[tex]YX = 5[/tex]

Required

Determine tan x

This question can be illustrated using the attached image

Tan of an angle is calculated as:

[tex]tan \theta = \frac{Opposite}{Adjacent}[/tex]

In this case, it is:

[tex]tan\ X= \frac{ZY}{XZ}[/tex]

Substitute values for ZY and XZ

[tex]tan\ X= \frac{4}{3}[/tex]

Hence, the required ratio is 4/3

Answer:

4/3

Step-by-step explanation:

Answer:

y=4x+3

y=-2x+3

Step-by-step explanation:

Answer:

There are 48 cups in 3 gallons!

Hope this helped! :)

Answer:

Step-by-step explanation:

The area of circle with radius of 2 yd (the length of the rope) is:

Since 1/4 of the circle is occupied by the shed, the area of the grass is:

Let the area be 30 yd², finding the r as per above formula:

Answer:

( 5 , - 2 )

Step-by-step explanation:

( 10 × [tex]\frac{1}{2}[/tex] , - 4 × [tex]\frac{1}{2}[/tex] ) = (5, - 2)

Answer:

it's related by product of 5/3 and directly proportional

Answer:

c

Step-by-step explanation:

edge2020

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

What is a Quadratic Equation?

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given that;

4(x + 2)² = 36

4( x(x + 2) + 2(x+2) ) = 36

4( x² + 2x + 2x + 4 ) = 36

4( x² + 4x + 4 ) = 36

4x² + 16x + 16 = 36

4x² + 16x + 16 - 36 = 0

4x² + 16x - 20 = 0

We can further simply ( divide through by 4 )

x² + 4x - 5 = 0

Hence,

x = (-b±√(b² - 4ac)) / (2a)

x = (-4±√(4² - (4 × 1 × -5)) / (2×1)

x = (-4±√(16 - (-20)) / (2)

x = (-4±√(16 + 20)) / (2)

x = (-4±√(36)) / 2

x = (-4±6)) / 2

Hence

x = (-4-6)) / 2 and x = (-4+6)) / 2

x = -10/2 and x = 2/2

x = -5 and x = 1

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

Learn more about quadratic equations here: brainly.com/question/1863222

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Answer:

POG

Step-by-step explanation:

poggers + poggers = POGCHAMP

Answer:

only the green and pink line repent a proportional relationship

Answer:

x = 2

Step-by-step explanation:

4x +4=12

    -4.   -4

   4x.= 8

 divide both saide by 4

x. = 2

Subtract 4 from both sides

4x + 4 - 4 = 12 -4

Simplify

4x = 8

Divide both sdes by 4

4x/4 = 8/4

Simplify

x = 2

Answer:

312500

Step-by-step explanation:

I believe the pattern is x5 x-5 x5 x-5 and if you follow that pattern, you get 312500. im sorry if im wrong

Answer :

13.25 x 64

=848

Answer:

453x  ^64 /4

​

Step-by-step explanation:

The equation represents this situation will be dp = k. Thus, option B is correct.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

The inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day.

If k is the constant of variation.

The equation represents this situation will be

dp = k

Thus, option B is correct.

Learn more about proportional relationship variable here:

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Answer:

D

Step-by-step explanation:

Answer: 1. 2

2. 5

3. 2

4. 2

5. 2

Step-by-step explanation:

Answer:

its greater than 10 but lesser than 100 because simplifying them in fractional form indeed informs u that its greater than 10

Answer:

Step-by-step explanation:

15.75 plus .05x = 16.53-.13x

.78=.18x

4.3 hours is your answer

Answer:

-320

Step-by-step explanation:

-2×5 (-4×-8)

-10(32)

-10×32

-320

Answer:

B) 13

Step-by-step explanation:

The given angles are vertical angles and has same measurement

4x = 52° divide both sides by 4

x = 13

Answer:

22≥4m-2=6

5-3m<-13=6

Step-by-step explanation:

The inequalities  22 ≥ 4m - 2 or 5 - 3m ≤ - 13 is m ≤ 6 or m ≥ 6.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

22 ≥ 4m - 2.

4m ≤ 22 + 2.

4m ≤ 24.

m ≤ 24/4.

m ≤ 6.

5 - 3m ≤ - 13.

- 3m ≤ - 13 - 5.

- 3m ≤ - 18.

3m ≥ 18.

m ≥ 18/3.

m ≥ 6.

So, m ≤ 6 or m ≥ 6.

learn more about inequalities here :

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Given:

Mrs. Applegate owns  [tex]\dfrac{3}{19}[/tex] of the business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

To find:

The  fractional part of the business that Mrs. Brown owns.

Solution:

Let Mrs. Charles owns x part of business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

Mrs. Brown owns = 3x part of business.

Mrs. Applegate owns  [tex]=\dfrac{3}{19}[/tex] of the business.

[tex]x+3x+\dfrac{3}{19}=1[/tex]

[tex]4x=1-\dfrac{3}{19}[/tex]

[tex]4x=\dfrac{19-3}{19}[/tex]

[tex]4x=\dfrac{16}{19}[/tex]

Divide both sides by 4.

[tex]x=\dfrac{16}{4\times 19}[/tex]

[tex]x=\dfrac{4}{19}[/tex]

Now,

Mrs. Brown owns  [tex]=3\times x[/tex]

[tex]=3\times \dfrac{4}{19}[/tex]

[tex]=\dfrac{12}{19}[/tex]

Therefore, Mrs. Brown owns  [tex]\dfrac{12}{19}[/tex] of the business.

Answer:

remember,a percent means "per 100".You can describe the change as a fraction comparing the amount of change to the original and then use a proportion to rewrite your problem as a percentage out of 100.

Answer:

x=18

Step-by-step explanation:

You add 1 on each side so you have 7x=126. Then you divide each side by 7, so you get x=18! Hope this helps!

Answer:

T

t

f

t

Step-by-step explanation:

Answer:

ol rjlrjlfjcohcoucoycl lj

Answer:

:3

Step-by-step explanation: